Discrete behavior of Seshadri constants on surfaces

• Autores: Brian Harbourne, Joaquim Roé Vellvé
• Localización: Journal of pure and applied algebra, ISSN 0022-4049, Vol. 212, Nº 3, 2008, págs. 616-627
• Idioma: inglés
• DOI: 10.1016/j.jpaa.2007.06.018
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• Resumen

  • Working over C, we show that, apart possibly from a unique limit point, the possible values of multi-point Seshadri constants for general points on smooth projective surfaces form a discrete set. In addition to its theoretical interest, this result is of practical value, which we demonstrate by giving significantly improved explicit lower bounds for Seshadri constants on P2 and new results about ample divisors on blow ups of P2 at general points.